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Finding the Third Proportional to 374,102.50 and 800,729

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Solution

The third proportional to 374,102.50 and 800,729 is: 1,713,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,102.50 : 800,729 = 800,729 : x
  2. Step 2: Convert to fraction form
    374,102.50/800,729 = 800,729/x
  3. Step 3: Cross multiply
    374,102.50x = 800,729 × 800,729
  4. Step 4: Simplify right side
    374,102.50x = 641,166,931,441
  5. Step 5: Solve for x
    x = 641,166,931,441/374,102.50
  6. Step 6: Final answer
    x = 1,713,880.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.